Question

3. A boulder drops in the water and creates a wave with a period of 2 s/cycle and a wavelength of

.75 m/cycle. How fast is the wave moving?

Answer 1

The wave moves with a velocity of 37.5 m/s

Step-by-step explanation:

We know that the speed of a wave is given by:

V = f*λ

Where f is the frequency (the inverse of the period)

Then:

f = 1/T

And we know that T = 2 s/cycle

f = 1/(2 s/cycle) = (1/2) cycle/s

And λ is the wavelength, we know that:

λ = 75m/cycle.

Then the speed of the wave is:

v = ( (1/2) cycle/s)*(75m/cycle) = (75/2) m/s = 37.5 m/s